Two complementary angles have measures (4x) ° and (2x) °. What is the value of x and the two angle measures?

Two angles are complementary if their sum equals 90 degrees.

So, we have (4x) + (2x) = 90.
Combining the like terms, we get 6x = 90.
Dividing both sides by 6, we have x = 15.
Substituting the value of x into the given expressions, we get 4x = 4(15) = 60 and 2x = 2(15) = 30.
Therefore, the value of x is 15, and the two angle measures are 60° and 30°.